Ideal compactifications in uniquely divisible semigroups.
Ideal Extensions of compact reductive semigroups.
Ideals of the Stone-Cech compactification of semigroups.
Idempotent semigroups and tropical algebraic sets
The tropical semifield, i.e., the real numbers enhanced by the operations of addition and maximum, serves as a base of tropical mathematics. Addition is an abelian group operation, whereas the maximum defines an idempotent semigroup structure. We address the question of the geometry of idempotent semigroups, in particular, tropical algebraic sets carrying the structure of a commutative idempotent semigroup. We show that commutative idempotent semigroups are contractible, that systems of tropical...
Idempotent semigroups generated by threads, I.
Idempotent semigroups generated by threads II.
Idempotents and the multiplicative group of some totally bounded rings
In this paper, we extend some results of D. Dolzan on finite rings to profinite rings, a complete classification of profinite commutative rings with a monothetic group of units is given. We also prove the metrizability of commutative profinite rings with monothetic group of units and without nonzero Boolean ideals. Using a property of Mersenne numbers, we construct a family of power commutative non-isomorphic profinite semiprimitive rings with monothetic group of units.
Idempotents in compact monothetic semigroups.
Idempotents of compact monothetic semiclosure semigroups
Identifying and distinguishing various varieties of abelian topological groups [Book]
Image partition regularity of matrices near 0 with real entries.
Images of compact 0-dimensional semigroups
Imbedding compact semigroups in compact inverse semigroups.
In a left-topological semigroup with dense center the closure of any left ideal is an ideal.
In quest of weaker connected topologies
We study when a topological space has a weaker connected topology. Various sufficient and necessary conditions are given for a space to have a weaker Hausdorff or regular connected topology. It is proved that the property of a space of having a weaker Tychonoff topology is preserved by any of the free topological group functors. Examples are given for non-preservation of this property by “nice” continuous mappings. The requirement that a space have a weaker Tychonoff connected topology is rather...
Invariant cones in Lie algebras.
Invariant means, right ideals and the structure of semitopological semigroups.´
Invariant sets in topology and logic
Inversion and joint continuity in semigroups on kw-spaces.
Irreducibility and generation in continuous lattices.